Identifying Equivalent Expressions

Determine which expression is equivalent to 5a + 2b - 3a + 4b

• 2a + 6b

• 2a - 6b

• 5a + 2b - 3a - 4b

• 7a + 6b

Simplify the expression: 5x + 2y - 3x + 4y

• 2x + 6y

• 5x + 2y

• -2x - 6y

• 8xy - 5

Simplify the expression: 2(3x - 4) - 5

• 6x - 8 + 5x

• 6x - 8 - 5x

• 6x - 8 - 5

• 6x - 8 + 5

Simplify the expression: 4(2y + 3) - 2(3y - 5)

• 8y + 12 - 6y + 10

• 10y - 2

• 12y + 22

• 2y + 5

Mrs. Smith writes four expressions on the board. Which expressions are equivalent to each other?

• II

• I

• III

• IV

Mrs. Smith writes four expressions on the board. Which expressions are equivalent to each other? Expression​ ​ ​ (a)   and Expression ​ (b)  

• II

• I

• III

• IV

Mrs. Smith writes four expressions on the board. Which expressions are equivalent to each other?

• II

• I

• III

• IV

Select one answer.

Which is equivalent?

• ¼(x)

• 4x

• Neither

Drag and drop the TWO expressions that are equivalent to (12x + 4y) – 2y​

​ (a)   ​ (b)  

• 12x + 2y

• 2(6x + y)

• 16x + 4y

• 14y

• 12x - 2y

Answer explanation

The expressions 12x + 2y and 2(6x + y) are equivalent to (12x + 4y) - 2y. These expressions simplify to the same result.